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Lemur [1.5K]
2 years ago
9

Solve this

itle=" \sqrt[3]{27 \times 27 \times 27} " alt=" \sqrt[3]{27 \times 27 \times 27} " align="absmiddle" class="latex-formula">
thank you in advance ​
Mathematics
2 answers:
Evgesh-ka [11]2 years ago
6 0

Answer:

27

Step-by-step explanation:

∛27 x 27 x 27

∛27³

= 27

vaieri [72.5K]2 years ago
6 0

Answer:

\sf \sqrt[3]{27*27*27} = 27

solving steps:

  • \sf \sqrt[3]{27*27*27}

  • \sf \sqrt[3]{19683}

  • 27

note:  

  • \large{\sqrt[3]{a *  \ a *  \ a}  =  a

  • \large{\sqrt[2]{a *  \ a }  =  a
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The surface area of the geometric shape is B. 840 cm².

Step-by-step explanation:

Step 1:

The given figure is made up of three rectangles and two triangles.

The surface area of the geometric shape is given by summing the individual surface areas.

The geometric shape's surface area = The sum of the individual surface areas.

Step 2:

The surface area of the rectangles is the multiplication of its length and width.

The surface area of the rectangle with length z and width x = (26)(10)= 260 cm^{2}.

The surface area of the rectangle with length y and width x = (24)(10)= 240 cm^{2}.

The surface area of the rectangle with length x and width x = (10)(10)= 100 cm^{2}.

Step 3:

The area of a triangle is half the product of its base length and height.

The surface area of a triangle with base y and height x= \frac{1}{2} (24)(10) = 120 cm^{2}.

They are two similar triangles so their areas are equal

Step 4:

The geometric shape's surface area = 160 + 240+100+120+120 = 840 cm^{2}.

So the surface area is option B. 840 cm².

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3 years ago
What is the slope of the line? / answers: -2, 1/2, 2, -1/2
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Anastaziya [24]
Let,
f(x) = -2x+34
g(x) = (-x/3) - 10
h(x) = -|3x|
k(x) = (x-2)^2

This is a trial and error type of problem (aka "guess and check"). There are 24 combinations to try out for each problem, so it might take a while. It turns out that 

g(h(k(f(15)))) = -6
f(k(g(h(8)))) = 2

So the order for part A should be: f, k, h, g
The order for part B should be: h, g, k f
note how I'm working from the right and moving left (working inside and moving out).


Here's proof of both claims

-----------------------------------------

Proof of Claim 1:

f(x) = -2x+34
f(15) = -2(15)+34
f(15) = 4
-----------------
k(x) = (x-2)^2
k(f(15)) = (f(15)-2)^2
k(f(15)) = (4-2)^2
k(f(15)) = 4
-----------------
h(x) = -|3x|
h(k(f(15))) = -|3*k(f(15))|
h(k(f(15))) = -|3*4|
h(k(f(15))) = -12
-----------------
g(x) = (-x/3) - 10
g(h(k(f(15))) ) = (-h(k(f(15))) /3) - 10
g(h(k(f(15))) ) = (-(-12) /3) - 10
g(h(k(f(15))) ) = -6

-----------------------------------------

Proof of Claim 2:

h(x) = -|3x|
h(8) = -|3*8|
h(8) = -24
---------------
g(x) = (-x/3) - 10
g(h(8)) = (-h(8)/3) - 10
g(h(8)) = (-(-24)/3) - 10
g(h(8)) = -2
---------------
k(x) = (x-2)^2
k(g(h(8))) = (g(h(8))-2)^2
k(g(h(8))) = (-2-2)^2
k(g(h(8))) = 16
---------------
f(x) = -2x+34
f(k(g(h(8))) ) = -2*(k(g(h(8))) )+34
f(k(g(h(8))) ) = -2*(16)+34
f(k(g(h(8))) ) = 2
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How much interest would be earned on $3,700 in one year if it is invested at 4%?
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I'd say $148 because you convert the percent into a decimal so
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